422656 has 36 divisors (see below), whose sum is σ = 915712. Its totient is φ = 193536.

The previous prime is 422627. The next prime is 422657. The reversal of 422656 is 656224.

422656 is nontrivially palindromic in base 7.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 422656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422657) by changing a digit.

422656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3265 + ... + 3391.

2⁴²²⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457856).

422656 is an abundant number, since it is smaller than the sum of its proper divisors (493056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422656 is a wasteful number, since it uses less digits than its factorization.

422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 422656 is about 650.1199889251. The cubic root of 422656 is about 75.0462529511.

The spelling of 422656 in words is "four hundred twenty-two thousand, six hundred fifty-six".